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All results from a given calculation for C6H6 (1,2,4,5-Hexatetraene)

using model chemistry: PBEPBE/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-231.828258
Energy at 298.15K-231.832047
HF Energy-231.828258
Nuclear repulsion energy174.815907
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at PBEPBE/cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Ag 3071 3054 0.00      
2 Ag 3043 3026 0.00      
3 Ag 1987 1976 0.00      
4 Ag 1447 1439 0.00      
5 Ag 1329 1321 0.00      
6 Ag 1140 1134 0.00      
7 Ag 1010 1004 0.00      
8 Ag 819 814 0.00      
9 Ag 524 521 0.00      
10 Ag 226 224 0.00      
11 Au 3124 3106 3.61      
12 Au 956 950 0.09      
13 Au 889 884 31.81      
14 Au 469 467 2.51      
15 Au 343 341 7.41      
16 Au 86 86 0.56      
17 Bg 3124 3106 0.00      
18 Bg 958 952 0.00      
19 Bg 845 840 0.00      
20 Bg 647 643 0.00      
21 Bg 305 303 0.00      
22 Bu 3081 3063 5.94      
23 Bu 3043 3026 19.93      
24 Bu 2016 2005 99.92      
25 Bu 1384 1376 0.87      
26 Bu 1208 1201 11.65      
27 Bu 1078 1072 2.57      
28 Bu 820 815 93.77      
29 Bu 527 524 23.10      
30 Bu 119 119 0.73      

Unscaled Zero Point Vibrational Energy (zpe) 19809.3 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 19694.4 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at PBEPBE/cc-pVDZ
ABC
1.07136 0.04453 0.04354

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVDZ

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.326 0.657 0.000
C2 0.326 -0.657 0.000
C3 0.326 1.814 0.000
C4 -0.326 -1.814 0.000
C5 0.972 2.960 0.000
C6 -0.972 -2.960 0.000
H7 -1.430 0.669 0.000
H8 1.430 -0.669 0.000
H9 1.254 3.463 0.941
H10 1.254 3.463 -0.941
H11 -1.254 -3.463 0.941
H12 -1.254 -3.463 -0.941

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46661.32842.47122.64403.67441.10372.20023.35523.35524.32704.3270
C21.46662.47121.32843.67442.64402.20021.10374.32704.32703.35523.3552
C31.32842.47123.68671.31564.94792.09582.71792.11312.11315.58885.5888
C42.47121.32843.68674.94791.31562.71792.09585.58885.58882.11312.1131
C52.64403.67441.31564.94796.23173.31903.65851.10341.10346.86326.8632
C63.67442.64404.94791.31566.23173.65853.31906.86326.86321.10341.1034
H71.10372.20022.09582.71793.31903.65853.15713.98643.98644.24224.2422
H82.20021.10372.71792.09583.65853.31903.15714.24224.24223.98643.9864
H93.35524.32702.11315.58881.10346.86323.98644.24221.88157.36687.6032
H103.35524.32702.11315.58881.10346.86323.98644.24221.88157.60327.3668
H114.32703.35525.58882.11316.86321.10344.24223.98647.36687.60321.8815
H124.32703.35525.58882.11316.86321.10344.24223.98647.60327.36681.8815

picture of 1,2,4,5-Hexatetraene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 124.222 C1 C2 H8 117.043
C1 C3 C5 179.973 C2 C1 C3 124.222
C2 C1 H7 117.043 C2 C4 C6 179.973
C3 C1 H7 118.735 C3 C5 H9 121.505
C3 C5 H10 121.505 C4 C2 H8 118.735
C4 C6 H11 121.505 C4 C6 H12 121.505
H9 C5 H10 116.989 H11 C6 H12 116.989
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.130      
2 C -0.130      
3 C 0.090      
4 C 0.090      
5 C -0.107      
6 C -0.107      
7 H 0.021      
8 H 0.021      
9 H 0.063      
10 H 0.063      
11 H 0.063      
12 H 0.063      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.688 3.070 0.000
y 3.070 -31.029 0.000
z 0.000 0.000 -36.037
Traceless
 xyz
x -1.155 3.070 0.000
y 3.070 4.334 0.000
z 0.000 0.000 -3.178
Polar
3z2-r2-6.357
x2-y2-3.659
xy3.070
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.416 6.268 0.000
y 6.268 21.342 0.000
z 0.000 0.000 5.429


<r2> (average value of r2) Å2
<r2> 247.707
(<r2>)1/2 15.739